On finite nonsolvable groups whose cyclic p-subgroups of equal order are conjugate

Van der Waall, RobertSezer, Sezgin2024-05-252024-05-25202201300-00981303-614910.55730/1300-0098.33012-s2.0-85138158608https://doi.org/10.55730/1300-0098.3301https://hdl.handle.net/20.500.14517/1057The structure of the nonsolvable (P)-groups is completely described in this article. By definition, a finite group G is called a (P)-group if any two cyclic p-subgroups of the same order are conjugate in G, whenever p is a prime number dividing the order of G.eninfo:eu-repo/semantics/openAccessConjugacy classes(generalized) Fitting subgroupsFrattini subgroupsp-subgroupssporadic simple groupsgroups of Lie typealternating and symmetric groupsSchur multiplierHering's theoremautomorphism groups(semi-)direct product of groupsOn finite nonsolvable groups whose cyclic p-subgroups of equal order are conjugateArticleQ2Q246727662805WOS:0008885925000151142884